Add or subtract, as indicated. See Example 4. 1 2 4 —— + —— + —— 6m 5m m

Key Concepts

Common Denominator

To add or subtract fractions, it is essential to have a common denominator. The common denominator is a shared multiple of the denominators of the fractions involved. In this case, for the fractions 6m, 5m, and m, the least common multiple must be determined to combine them effectively.

Fraction Addition/Subtraction

Adding or subtracting fractions involves combining the numerators while keeping the common denominator. The formula for this operation is (a/b) + (c/d) = (ad + bc) / bd. Understanding how to manipulate the numerators and maintain the denominator is crucial for accurate calculations.

Simplifying Fractions

After performing addition or subtraction on fractions, the result may need to be simplified. Simplifying involves reducing the fraction to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD). This step ensures the final answer is presented in the simplest form.